Pith Number

pith:GJBPQWV3

pith:2021:GJBPQWV36TELZDS6ANPVCNLNGK

not attested not anchored not stored refs pending

A two species micro-macro model of wormlike micellar solutions and its maximum entropy closure approximations: An energetic variational approach

Chun Liu, Teng-Fei Zhang, Yiwei Wang

arxiv:2101.09838 v2 · 2021-01-25 · physics.flu-dyn · cond-mat.soft · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJBPQWV36TELZDS6ANPVCNLNGK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T02:36:09.657541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3242f85abbf4c8bc8e5e035f51356d3285f828db1a3bc6bac986db9ab01bf1d3

Aliases

arxiv: 2101.09838 · arxiv_version: 2101.09838v2 · doi: 10.48550/arxiv.2101.09838 · pith_short_12: GJBPQWV36TEL · pith_short_16: GJBPQWV36TELZDS6 · pith_short_8: GJBPQWV3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GJBPQWV36TELZDS6ANPVCNLNGK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3242f85abbf4c8bc8e5e035f51356d3285f828db1a3bc6bac986db9ab01bf1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae8764d83057f5a2aa4b43a20b815190c8371621a678df3113a2c47a7389952",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-01-25T00:46:11Z",
    "title_canon_sha256": "d6d70eeefa5941f905da71fc7d4d51d7923fddfa28f835a9ca69c490c4be3431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09838",
    "kind": "arxiv",
    "version": 2
  }
}